Finding the Third Proportional to 174,966 and 471,324

Step by Step Solution

1. Step 1: Write the proportion equation
   174,966 : 471,324 = 471,324 : x
2. Step 2: Convert to fraction form
   174,966/471,324 = 471,324/x
3. Step 3: Cross multiply
   174,966x = 471,324 × 471,324
4. Step 4: Simplify right side
   174,966x = 222,146,312,976
5. Step 5: Solve for x
   x = 222,146,312,976/174,966
6. Step 6: Final answer
   x = 1,269,654.18